Let R be the reduction from 3-SAT to INDEPENDENT-SET as discussed in class. **Exercise:** (2) Draw the graph that \( R \) builds for the 3-CNF formula \( (A \lor B \lor C) \land (B \lor C \lor D) \).**Instructions:** Compare your graph with the following answer and verify its correctness:**Graphs:**1. **First Graph:** - **Nodes:** A, B, C - **Connections:** - A is connected to B - A is connected to C - B is connected to C - This forms a triangle between the nodes A, B, and C.2. **Second Graph:** - **Nodes:** B, C, D - **Connections:** - B is connected to C - B is connected to D - C is connected to D - This forms a triangle between the nodes B, C, and D.**Verification Options:** - Yes, the provided answer is correct.- No, the provided answer is incorrect.

Create a set of 3 vertices for each clause where each vertex represents a literal of the clause.…

Answered: (2) Draw the graph that R builds for…

(2) Draw the graph that R builds for 3-CNF formula (AV BVC) A (BVC V D). Compare your graph with the following answer and verify its correctness: B A C C B D

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Let R be the reduction from 3-SAT to INDEPENDENT-SET as discussed in class.

**Exercise:**
(2) Draw the graph that \( R \) builds for the 3-CNF formula \( (A \lor B \lor C) \land (B \lor C \lor D) \).

**Instructions:**
Compare your graph with the following answer and verify its correctness:

**Graphs:**

1. **First Graph:**
- **Nodes:** A, B, C
- **Connections:**
- A is connected to B
- A is connected to C
- B is connected to C
- This forms a triangle between the nodes A, B, and C.

2. **Second Graph:**
- **Nodes:** B, C, D
- **Connections:**
- B is connected to C
- B is connected to D
- C is connected to D
- This forms a triangle between the nodes B, C, and D.

**Verification Options:**
- Yes, the provided answer is correct.
- No, the provided answer is incorrect.

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